Ask Sword

"Rising! Congratulations!"

"Ah, we are happy together."

"Risheng, you've really made a big splash this time. Did any wealthy people knock on the door last night to ask for marriage?"

"No no."

"Risheng, do you have any more of the Four Treasures of the Study? Share some of them with us, and let's go back and soak up the literary spirit."

"Ah this."

In Huaidefang in the early morning, Li Ang greeted his classmates with a wry smile.

The news of the release of the first exam in the Academy quickly spread throughout Chang'an.

A little-known female student from Youzhou and a junior doctor from Weizhou won the first and second place in the preliminary examination against the prime minister's son who was ranked first in thirteen subjects.

Such news is so bizarre that a group of idle citizens gathered outside the Huaide Fang Hotel early in the morning to watch the excitement.

No one doubted whether the grades announced by the academy were true, but they were just curious about Li Ang.

Li Ang went away with his fellow students, looked at their backs going to Pingkang Fang for a banquet, smiled wryly and shook his head.

The so-called happy families are sad, there are only 5,000 people in the first exam of the academy, and there are always some who will be eliminated.

However, the examination process in the Academy is reasonable, and the judging papers are fair and just. Not being on the list can only be said to be a bad move and bad luck.

Among the students from Weizhou, Zhai Yiming ranked 1,117, Song Shaoyuan ranked 909, Ji Linglang ranked 331, and five others were eliminated—because they will come again next year Opportunity, so it's not so sad.

"I didn't expect to come back with the second place in the exam this time,"

Li Ang closed the door and muttered, "I thought the first one hundred would be good."

Chai Cuiqiao asked curiously: "Master, what is the second place?"

"It's the second place in the exam."

Li Ang recalled that there is no saying that there is no second place in the Yu State, only the number one, or the number one, the top of the list.

As for Tanhua, it is not the third place, but the name that the newly promoted Jinshi would call the young and handsome Jinshi who rode a horse and picked famous flowers in the garden when he went to the apricot garden according to the rules-Tanhualang.

"It's kind of weird, though,"

Li Ang muttered: "My scriptures and policy questions are only A and B, poetry and Fu B, and riding and archery A. Logically, it shouldn't be ranked above Pei Jing who is all A in thirteen subjects. Could it be me? Arithmetic, herbal medicine, and Danqing's scores are too high?"

————

"Good! Good!"

In the wing room of the Chongyefang restaurant, Chao Wenyuan, a short and fat man with a Ph.D. in Mathematics from Xuegong, was happily admiring a test paper repeatedly. Couldn't help clapping his hands and chuckling.

A few disciples on the side asked curiously: "Teacher, is this paper really that good?"

"It's more than good."

Chao Wenyuan shook his head, and spread out the test paper filled with densely packed words on the table, "Look, this examinee is almost showing off his skills for every question, using more than one method to solve the problem.

In addition to the method of deriving from graphs in "Ji Gu Suan Jing\

,"There is also the Tianzhu digital algorithm of "Brahman Algorithm" in "Sui Shu·Jing Ji Zhi\

,"and this"

He tapped some horizontal and vertical lines drawn in different squares in the corner of the test paper with his fingertips, and asked the students with a smile, "What do you think this is?"

The disciples leaned forward and recognized at a glance that the horizontal and vertical lines drawn on the test paper were counting chips—a numbering method commonly used in the Spring and Autumn Period.

And what these calculations represent.

"Tian Yuan Technique?!"

The disciples cried out in astonishment.

"That's right,"

Chao Wenyuan sighed and said: "Wang Xiaotong, who was the Taishicheng at the end of Sui Dynasty and the beginning of Yu Dynasty, studied "Nine Chapters of Arithmetic" and "Jiushu" deeply, and wrote "Jigu Suanjing". Strand patterns and derivations to compute complex problems.

Xuegong continues to develop on its basis, and regards the unknown number of needs as the number of Tianyuan, that is, "Li Tianyuan One\

,"List two equal Tianyuan formulas, subtract the Tianyuan formulas to get one Tianyuan formula, then use the multiplication method to find the positive root and solve the Tianyuan unknown.

The method is clear, the steps are orderly, and it is faster than the Pythagorean graphic derivation method. "

"The Academy has published papers on Tianyuanshu before, and that candidate is indeed very good at learning it by himself,"

A student frowned and said, "However, the Zengyana Kai method was only mentioned in the paper, and it was not discussed in detail—Teacher, you plan to put the Zengyana Kai method and the Quaternary Technique together, and publish it when it is ready." into a book.

How did he learn it? "

"Learn from the small to know, draw inferences from one instance to another. If you don't have a useful math tool or calculation method, then create one yourself."

Chao Wenyuan said in a deep voice: "This is a genius!

For the entire mathematics test paper, only two candidates, He Fanshuang and Li Ang, were able to answer all the answers.

He Fanshuang got full marks in the test because she had the ability to get full marks in the test.

And Li Ang got full marks in the test because there were only full marks.

If not, I would not argue in front of the head of the mountain, and strongly demand that his ranking be placed first. "

Hearing that the teacher praised the student named Li Ang so highly, the disciples present were somewhat dissatisfied.

Seeing this, Chao Wenyuan let out a long sigh and said, "The history of the development of mathematics is a history of interruptions.

The continuation and development of mathematics in ancient times mainly relied on the private teaching and family traditions of several families, and the knowledge of mathematics was lost and lost continuously.

After dozens of hundreds of years, it was reinvented by later generations.

The overall level of mathematics fluctuated several times, with ups and downs and ups and downs.

It wasn't until the academy attached great importance to arithmetic and regarded it as an important tool for managing the world that the folk atmosphere gradually reversed.

It is precisely because of arithmetic that we can predict the trajectories of the sun, moon and stars, estimate the wood, stone and earthwork needed to build bridges and pavilions, calculate the height of distant mountains, the flow speed of rivers, and even assist in spiritual practice.

Instead of using personal experience to "feel".

Even if this student named Li Ang fails to enter the academy, I will ask the head of the mountain for instructions and accept him as a student."

While talking, Chao Wenyuan paused suddenly, squinted his eyes and muttered to himself: "But Sun Pu, who taught herbal medicine in the academy, and Du Qinyin, who taught Danqing, also gave him first-class grades.

Although we are all in the same game, if you want to compete with me for disciples,

Then don’t blame me for turning my face and denying people.”

The disciples in the side room looked at each other,

In addition to teaching the prescribed courses, the doctors of the Academy will also select some pleasing disciples to study certain topics together.

The tutor chooses the student, and the student chooses the tutor.

but

Chao Wenyuan's cultivation base seems to be able to patrol the middle of the cloud,

Du Qinyin, a female monk who was the same age as him in the school, had already broken through to the high level of Xunyun Realm a few years ago.

In a real fight, Chao Wenyuan might be hanged and hammered by the opponent, just like when the two were young.

The disciples present imagined the scene for a while, shut up decisively, and watched Chao Wenyuan sitting on the chair, happily flipping through Li Ang's examination papers, "It's just, why is there a question under the first question? The erased word 'Xie'?"

The "method of formulating" in ancient mathematics is also the "solution of equations" in modern mathematics.

During the Southern and Northern Dynasties and the Sui and Tang Dynasties, along with the spread of Buddhism, some works of astronomy and mathematics from India were also introduced to China.

For example, "Brahman's Algorithm", "Brahman's Yin-Yang Calendar" and "Brahman's Calendar" in "Sui Shu·Jing Ji Zhi".

At the same time, in the Tang Dynasty, there were some astronomers from India with mathematical accomplishments who held official positions in Sitianjian, such as Gautan Siddha - he compiled "Kaiyuan Zhanjing", which introduced the use of numbers in Indian mathematics circles. to represent numbers.

This book is based on this historical material, with slight modifications, it is assumed that Yu State already has Indian-Arabic numerals.